Specification of Turbulent Diffusion by Random Walk Method for Oil Dispersion Modeling

Abstract:

Random walk modeling has been extensively used for oil dispersion studies. However, there is some misusing about the expression. The aim of this study is to clarify the essence of the method. Expressions used in published papers are reviewed firstly, and different methods are discussed. The results show that the random method can successfully predict the dye patch dimensions and the dilution of the dye with time in contrast with the other method. Also, some critical factor in applying the random walk method is emphasized in the paper. Two types of formula used to simulate the turbulent diffusion are discussed. Results have shown a need for care in determining the concentrations from the random walk model.

• Periodical: Applied Mechanics and Materials (Volumes 212-213)
• Pages: 1161-1167
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.212-213.1161
• Online since: October 2012
• Authors: Jin Hua Wang, Jin Shan Zhang
• Keywords: Diffusion, Oil Spill Modeling, Random Walk

References

[1] P.D. Yapa: J Hydraul Eng. Vol. 131 (2005), p.69

[2] X.B. Chao, N.J. Shankar and S. Wang: J Hydraul Eng. Vol. 129 (2003), p.495

[3] H.T. Shen and P.D. Yapa: J Hydraul Eng. Vol. 114 (1988), p.529

[4] D. Farmer and M. Li: Ocean Eng. Vol. 21 (1994), p.575

[5] S.D. Wang, Y.M. Shen and Y.H. Zheng: Ocean Eng. Vol. 32 (2005), p.1556

[6] S.D. Wang, Y.M. Shen, Y.K. Guo and J. Tang: Ocean Eng. Vol. 35 (2008), p.503

[7] R. Periáñez and A. Pascual-Granged: Comput Geosci. Vol. 34 (2008), p.163

[8] J.H. Wang and Y.M. Shen: Sci. China-Technol. Sci. Vol. 53 (2010), p.2423

[9] J.H. Wang and Y.M. Shen: Ocean Modell. Vol. 35 (2010), p.332

[10] A.H. Al-Rabeh, H.M. Cekirge and N. Gunay: Appl Math Modell. Vol. 13 (1989), p.322

[11] X.B. Chao, N.J. Shankar and H.F. Cheong: Ocean Eng. Vol. 28 (2001), p.1557

[12] R. Proctor, R.A. Flather and A.J. Elliott: Cont Shelf Res. Vol. 14 (1994), p.531

[13] H. Ors: Energ Source. Vol. 27 (2005), p.387

[14] K.A. Korotenko, R.M. Mamedov, A.E. Kontar and L.A. Korotenko: J Mar Syst. Vol. 48 (2004), p.159

[15] C.Z Zhang, Z.X. Dou, K. Han and G.Wu: Mar Environ Sci. (1997), p.26

[16] W.J. Guo and Y.X. Wang: Mar Pollut Bull. Vol. 58 (2009), p.726

[17] H.Z. Chen, D.M. Li and X. Li: J Hydrodyn Ser B. Vol. 19 (2007), p.282

[18] S.M. Varlamov, J. Yoon, N. Hirose, H. Kawamura and K. Shiohara: J Mar Sci Technol. Vol. 4 (1999), p.94